ERIC Number: EJ1102425
Record Type: Journal
Publication Date: 2016
Abstractor: As Provided
Why Do We Need the Derivative for the Surface Area?
Hristova, Yulia; Zeytuncu, Yunus E.
PRIMUS, v26 n5 p393-405 2016
Surface area and volume computations are the most common applications of integration in calculus books. When computing the surface area of a solid of revolution, students are usually told to use the frustum method instead of the disc method; however, a rigorous explanation is rarely provided. In this note, we provide one by using geometric observations and the Squeeze Theorem.
Descriptors: Computation, Calculus, Scientific Concepts, Geometry, Observation, Mathematics Instruction, College Mathematics, Student Projects, Mathematical Formulas
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A